pocketken.H3 Produces the grid distance between the two indexes. This function may fail to find the distance between two indexes, for example if they are very far apart. It may also fail when finding distances for indexes on opposite sides of a pentagon. index to find distance from index to find distance to grid distance in cells; -1 if could not be computed Produces the grid distance between the two indexes. This function may fail to find the distance between two indexes, for example if they are very far apart. It may also fail when finding distances for indexes on opposite sides of a pentagon. index to find distance from index to find distance to grid distance in cells; -1 if could not be computed Given two H3 cells, return the path of cells between them (inclusive). This function may fail to find the line between two cells, for example if they are very far apart. It may also fail when finding distances for indexes on opposite sides of a pentagon. - The specific output of this function should not be considered stable across library versions. The only guarantees the library provides are that the line length will be `GridDistance(start, end) + 1` and that every index in the line will be a neighbor of the preceding index. - Lines are drawn in grid space, and may not correspond exactly to either Cartesian lines or great arcs. start index of the line end index of the line all points from start to end, inclusive; empty if could not compute a line Given two H3 cells, return the path of cells between them (inclusive). This function may fail to find the line between two cells, for example if they are very far apart. It may also fail when finding distances for indexes on opposite sides of a pentagon. - The specific output of this function should not be considered stable across library versions. The only guarantees the library provides are that the line length will be `GridDistance(start, end) + 1` and that every index in the line will be a neighbor of the preceding index. - Lines are drawn in grid space, and may not correspond exactly to either Cartesian lines or great arcs. start index of the line end index of the line all points from start to end, inclusive; empty if could not compute a line The vertex testing mode to use when checking containment during polyfill operations. Specifies that the index's center vertex should be contained within the geometry. This matches the polyfill behaviour of the upstream library. Specifies that any of the index's boundary vertices can be contained within the geometry. Specifies that all of the index's boundary vertices must be contained within the geometry. Polyfill algorithms for H3Index. Returns all of the H3 indexes that are contained within the provided at the specified resolution. Supports Polygons with holes. Containment polygon H3 resolution Specify which to use when checking index vertex containment. Defaults to . Indices that are contained within polygon Performs a polyfill operation utilizing the center of each index produced during the fill. Performs a polyfill operation utilizing any from the cell boundary of each index produced during the fill. Performs a polyfill operation utilizing all s from the cell boundary of each index produced during the fill. Returns all of the H3 indexes that follow the provided LineString at the specified resolution. Gets all of the H3 indices that define the provided set of s. Determines whether or not the geometry is flagged as transmeridian; that is, has an arc > 180 deg lon. Attempts to split a polygon that spans the antemeridian into a multipolygon by clipping coordinates on either side of it and then unioning them back together again. Holder for indexes produced from the k ring functions. H3 index k cell distance from the origin (ring level) Indicates that k-ring traversal failed due to the ring starting on a pentagon or due to encountering indexes within the pentagon distortion area. Indicates that k-ring traversal failed due to the ring encountering an index with deleted k-subsequence distortion. Extends the H3Index class with support for kRing and hex ring queries. Returns the "hollow" ring of cells at exactly grid distance k from the origin cell. In particular, k=0 returns just the origin cell. An exception may be thrown in some cases, for example if a pentagon is encountered. Returns the "hollow" ring of cells at exactly grid distance k from the origin cell. In particular, k=0 returns just the origin cell. An exception may be thrown in some cases, for example if a pentagon is encountered. Produce cells from the given origin cell within distance k. This first attempts to use the GridDiskDistancesUnsafe method, and falls back to GridDiskDistancesSafe if the fast method fails (e.g. pentagonal distortion). k-ring 0 is defined as the origin cell, k-ring 1 is defined as k-ring 0 and all neighboring cells, and so on. Results are provided in no particular order. Produce cells from the given origin cell within distance k. This first attempts to use the method, and falls back to if the fast method fails (e.g. pentagonal distortion). k-ring 0 is defined as the origin cell, k-ring 1 is defined as k-ring 0 and all neighboring cells, and so on. Results are provided in no particular order. Iteratively produces indexes within k cell distance of the origin index. This is a higher-accuracy but slower version of . k-ring 0 is defined as the origin index, k-ring 1 is defined as k-ring 0 and all neighboring indexes, and so on. Origin location k >= 0 all neighbours within k cell distance Iteratively produces indexes within k cell distance of the origin index. This is a higher-accuracy but slower version of . k-ring 0 is defined as the origin index, k-ring 1 is defined as k-ring 0 and all neighboring indexes, and so on. Origin location k >= 0 all neighbours within k cell distance Produces indexes within k cell distance of the origin index. This is a lower-accuracy but faster version of . k-ring 0 is defined as the origin index, k-ring 1 is defined as k-ring 0 and all neighboring indexes, and so on. Output behavior is undefined when one of the indexes returned by this function is a pentagon or is in the pentagon distortion area. Origin location k >= 0 Enumerable set of RingCell, or an exception if a traversal error is encountered (eg pentagon) Produces indexes within k cell distance of the origin index. This is a lower-accuracy but faster version of . k-ring 0 is defined as the origin index, k-ring 1 is defined as k-ring 0 and all neighboring indexes, and so on. Output behavior is undefined when one of the indexes returned by this function is a pentagon or is in the pentagon distortion area. Origin location k >= 0 Enumerable set of RingCell, or an exception if a traversal error is encountered (eg pentagon) epsilon of ~0.1mm in degrees epsilon of ~0.1mm in radians Extends the class with support for Directed Edge functionality. Returns a directed edge H3 index based on the provided origin and destination. Origin H3 index Destination H3 index The Directed edge H3Index, or Invalid on failure. Returns a directed edge H3 index based on the provided origin and destination. Origin H3 index Destination H3 index The Directed edge H3Index, or Invalid on failure. Provides all of the directed edges from the provided H3 cell index. Origin H3 index All of the Directed edges for the H3 origin index. Provides all of the directed edges from the provided H3 cell index. Origin H3 index All of the Directed edges for the H3 origin index. Returns the origin cell from the given directed edge. Unidirectional edge H3 index The origin cell index, or Invalid on failure Returns the origin cell from the given directed edge. Unidirectional edge H3 index The origin cell index, or Invalid on failure Returns the destination cell from the given directed edge. Unidirectional edge H3 index The destination cell index, or Invalid on failure Returns the destination cell from the given directed edge. Unidirectional edge H3 index The destination cell index, or Invalid on failure Returns the origin, destination pair of cell indexes for the given directed edge. Returns the origin, destination pair of cell indexes for the given directed edge. Provides the coordinates defining the directed edge. Provides the coordinates defining the directed edge. Length of a directed edge in radians. Length of a directed edge in radians. Length of a directed edge in kilometers. Length of a directed edge in kilometers. Determines if the provided H3Index is a valid directed edge index. H3 Directed edge index true if a valid Directed edge index, false otherwise Determines if the provided H3Index is a valid directed edge index. H3 Directed edge index true if a valid Directed edge index, false otherwise Determines the spherical coordinates of the center point of a . optional result object; defaults to new instance. Optional object to use during conversion (useful to reduce allocations when performing many coordinate conversions); defaults to a new instance if not provided. Convert a to a H3 index at the specified resolution. optional instance to re-use for the conversion optional instance to re-use for the conversion Find all icosahedron faces intersected by a given H3 index, represented as integers from 0-19. The results are sparse; since 0 is a valid value, invalid values are represented as -1. It is the responsibility of the caller to filter out invalid values. Faces intersected by the index Area of H3 cell in radians^2. The area is calculated by breaking the cell into spherical triangles and summing up their areas. Note that some H3 cells (hexagons and pentagons) are irregular, and have more than 6 or 5 sides. H3 cell area in radians^2 Area of H3 cell in kilometers^2. H3 cell area in km^2 Area of H3 cell in m^2. H3 cell Determines the radius of a given cell in Km H3Index to get area for Determines the cell boundary vertices in spherical coordinates for a given H3 index. H3Index to get boundary for Optional to be used for index coordinate conversions; defaults to none. Useful for reducing allocations when producing boundaries for a large number of indices. boundary coordinates Generates a Polygon of the cell boundary for a given H3 index. Optional GeometryFactory to be used to create Polygon instance. Note that vertex coordinates are provided in EPSG 4326 (WGS84) Polygon for cell boundary Generates a Multi-Polygon containing all of the cell boundaries for a given set of H3 indices. Extends the H3Index class with support for bitwise hierarchical queries. Returns the cell index neighboring the origin, in the dir. Implementation note: The only reachable case where this returns 0 is if the origin is a pentagon and the translation is in the k direction. Thus, 0 can only be returned if origin is a pentagon. Origin index Direction to move in Number of CCW rotations to perform to reorient the translation vector. Will be modified to the new number of rotations to perform (such as when crossing a face edge.) H3Index of the specified neighbor or H3_NULL if deleted k-subsequence distortion is encountered. Gets all of the neighbouring cells of . This is just a wrapper around calling for each and filtering for . cell to get neighbours of Get the from the origin to a given neighbor. This is effectively the reverse operation for NeighborRotations. Returns Direction.Invalid if the cells are not neighbors. TODO: This is currently a brute-force algorithm, but as it's O(6) that's probably acceptable. Returns whether or not the provided are neighbours. Origin H3 index Destination H3 index true if indexes are neighbours, false if not Produces the parent index for a given at the specified resolution. origin index parent resolution, must be >= 0 < resolution H3Index of parent Returns the immediate child in the specified . Bit operations only, could generate invalid indexes if not careful (deleted cell under a pentagon). origin index direction to travel Produces the center child index for a given at the specified resolution. origin index to find center of the resolution to switch to, must be > resolution <= MAX_H3_RES of the center child, or if you actually asked for a parent Produces all child for the specified resolution. index to find children for resolution of child level Whether or not the parent contains the specified child ; meaning, the child is equal to the parent at the parent's resolution. Whether or not the child is contained by the specified parent ; meaning, the child is equal to the parent at the parent's resolution. Extends the H3Index class with support for generating LocalIJ coordinates. Produces ij coordinates for an index anchored by an origin. The coordinate space used by this function may have deleted regions or warping due to pentagonal distortion. Coordinates are only comparable if they come from the same origin index. Failure may occur if the index is too far away from the origin or if the index is on the other side of a pentagon. Produces ij coordinates for an index anchored by an origin. The coordinate space used by this function may have deleted regions or warping due to pentagonal distortion. Coordinates are only comparable if they come from the same origin index. Failure may occur if the index is too far away from the origin or if the index is on the other side of a pentagon. Produces an index for ij coordinates anchored by an origin. The coordinate space used by this function may have deleted regions or warping due to pentagonal distortion. Failure may occur if the index is too far away from the origin or if the index is on the other side of a pentagon. an anchoring index for the IJ coordinate system IJ coordinates to index H3Index for coordinates Produces an index for ij coordinates anchored by an origin. The coordinate space used by this function may have deleted regions or warping due to pentagonal distortion. Failure may occur if the index is too far away from the origin or if the index is on the other side of a pentagon. an anchoring index for the IJ coordinate system IJ coordinates to index H3Index for coordinates Extends the H3Index class with support for generating LocalIJK coordinates. Produces ijk coordinates for an index anchored by an origin. The coordinate space used by this function may have deleted regions or warping due to pentagonal distortion. Coordinates are only comparable if they come from the same origin index. Failure may occur if the index is too far away from the origin or if the index is on the other side of a pentagon. Produces ijk coordinates for an index anchored by an origin. The coordinate space used by this function may have deleted regions or warping due to pentagonal distortion. Coordinates are only comparable if they come from the same origin index. Failure may occur if the index is too far away from the origin or if the index is on the other side of a pentagon. Produces an index for ijk coordinates anchored by an origin. The coordinate space used by this function may have deleted regions or warping due to pentagonal distortion. Failure may occur if the index is too far away from the origin or if the index is on the other side of a pentagon. an anchoring index for the IJK coordinate system IJK coordinates to index H3Index for coordinates Produces an index for ijk coordinates anchored by an origin. The coordinate space used by this function may have deleted regions or warping due to pentagonal distortion. Failure may occur if the index is too far away from the origin or if the index is on the other side of a pentagon. an anchoring index for the IJK coordinate system IJK coordinates to index H3Index for coordinates Produces ijk+ coordinates for an index anchored by an origin. The coordinate space used by this function may have deleted regions or warping due to pentagonal distortion. Coordinates are only comparable if they come from the same origin index. Failure may occur if the index is too far away from the origin or if the index is on the other side of a pentagon. an anchoring index for the IJ coordinate system index to generate IJ coordinates for local IJ coordinates Produces an index for ijk+ coordinates anchored by an origin. The coordinate space used by this function may have deleted regions or warping due to pentagonal distortion. Provides extension methods that operate on sets of H3Index. Takes a set of cells and compacts them by removing duplicates and pruning full child branches to the parent level. This is also done for all parents recursively to get the minimum number of indexes that perfectly cover the defined space. This implementation differs from upstream in that mixed resolutions are supported, and duplicate or invalid inputs are filtered instead returning an error code when they are encountered. Based on the "FlexiCompact" method in H3Lib (https://github.com/RichardVasquez/h3net/blob/v3.7.1/H3Lib/Extensions/H3LibExtensions.cs#L359) set of cells to compact set of compacted cells Takes a set of cells and compacts them by removing duplicates and pruning full child branches to the parent level. This is also done for all parents recursively to get the minimum number of indexes that perfectly cover the defined space. This implementation differs from upstream in that mixed resolutions are supported, and duplicate or invalid inputs are filtered instead returning an error code when they are encountered. Based on the "FlexiCompact" method in H3Lib (https://github.com/RichardVasquez/h3net/blob/v3.7.1/H3Lib/Extensions/H3LibExtensions.cs#L359) set of cells to compact set of compacted cells Takes a compacted set of cells and expands back to the original set of cells at a specific resolution. set of cells resolution to expand to original set of cells. Throws ArgumentException if any cell in the set is smaller than the output resolution or invalid resolution is requested. Takes a compacted set of cells and expands back to the original set of cells at a specific resolution. set of cells resolution to expand to original set of cells. Throws ArgumentException if any cell in the set is smaller than the output resolution or invalid resolution is requested. Takes a set of indexes and expands to the highest found resolution within the set. expanded set ofindexes Takes a set of indexes and expands to the highest found resolution within the set. expanded set ofindexes Determines whether or not all H3Index entries within the enumerable are of the same resolution. set of cells true if all cells are of the same resolution, false if not. Extends the H3Index class with support for vertex functionality. Hexagon direction to vertex number relationships (same face). Note that we don't use direction 0 (center). Pentagon direction to vertex number relationships (same face). Note that we don't use directions 0 (center) or 1 (deleted K axis). Vertex number to hexagon direction relationships (same face). Vertex number to pentagon direction relationships (same face). Directions in CCW order. Get the number of CCW rotations of the cell's vertex numbers compared to the directional layout of its neighbors. H3 index Number of CCW rotations Get the first vertex number for a given direction. The neighbor in this direction is located between this vertex number and the next number in sequence. The number for the first topological vertex, or INVALID_VERTEX_NUM if the direction is not valid for this cell Get the direction for a given vertex number. This returns the direction for the neighbor between the given vertex number and the next number in sequence. The direction for this vertex, or INVALID_DIGIT if the vertex number is invalid. Get a single vertex for a given cell as an H3 index, or H3Index.Invalid if the vertex is invalid. Get a single vertex for a given cell as an H3 index, or H3Index.Invalid if the vertex is invalid. Get all vertexes for the given cell. Get all vertexes for the given cell. Get the geocoordinates of a H3 vertex index. Get the geocoordinates of a H3 vertex index. Whether the input is a valid H3 vertex index. H3 index possibly describing a vertex Whether the input is valid H3 index with mode 0, res 0, base cell 0, and 7 for all index digits. Typically used to initialize the creation of an H3 cell index, which expects all direction digits to be 7 beyond the cell's resolution. H3 index with a value of 0; aka H3_NULL The highest bit value of the index. The Mode of the index. The base cell number of the index. Must be >= 0 < NUM_BASE_CELLS The resolution of the index. Must be >= 0 <= MAX_H3_RES The Direction "digit" for the index at its base resolution, e.g. this is the result of GetDirectionForResolution(Resolution) The reserved bit value of the index. Setting to non-zero may invalidate the index. Whether or not the index is a valid cell. The leading non-zero Direction "digit" of the index. Whether or not this index should be considered as a pentagon. The maximum number of possible icosahedron faces the index may intersect. Gets the Direction "digit" for the index at the specified resolution. Sets the Direction "digit" for the index at the specified resolution to the specifiied value. Increments the Direction "digit" for the index at the specified resolution. Zeros the Direction "digits" for the indexes starting at startResolution and ending at endResolution. Invalidates the Direction "digits" for the indexes starting at startResolution and ending at endResolution Performs an in-place 60 degree clockwise rotation of the index. Performs an in-place 60 degree clockwise rotation of the index. Performs an in-place 60 degree counter-clockwise pentagonal rotation of the index. Performs an in-place 60 degree clockwise pentagonal rotation of the index. Convert an to the address on a specified icosahedral face. Note that will be mutated by this function. Convert a to a address. optional value to update and return instead of allocating a new address Determines the spherical coordinates of the center point of a Center point LatLng Determines the spherical coordinates of the center point of a Center point LatLng Determines the spherical coordinates of the center point of a , and returns it as a NTS . geometry factory to be used to create point; defaults to . Note that coordinates are provided in degrees and SRS is assumed to be EPSG:4326. Convert a address to its corresponding at the specified resolution. The FaceIJK address The cell resolution Encodes a coordinate on the sphere to the H3 index of the containing cell at the specified resolution. The spherical coordinates to encode The desired H3 resolution for the encoding Returns H3Index.Invalid (H3_NULL) on invalid input Encodes a coordinate on the sphere to the H3 index of the containing cell at the specified resolution. The spherical coordinates to encode The desired H3 resolution for the encoding Returns H3Index.Invalid (H3_NULL) on invalid input Perform in-place 60 degree clockwise rotation(s) of the index. number of rotations to perform Perform in-place 60 degree clockwise rotation(s) of the index. number of rotations to perform Handles (de)serialization of H3Index values to/from JSON using System.Text.Json. The cell number, from 0 - 121. The home face and IJK address of the cell. Whether or not this base cell is a pentagon. If a pentagon, the cell's two clockwise offset faces. Whether or not the cell is a polar pentagon. All of the neighbouring s of this cell, by . Indicates the number of counter-clockwise rotations that should take place to rotate to a given neighbour, by . A map of neighbour cell number to . Whether or not the specified matches one of this base cell's offset values. Gets the that is in the specified from the current base cell. Gets the that is required to move in order to go from to . Whether or not two instances are equal. Whether or not two instances are not equal. Normalizes ijk coordinates by setting the components to the smallest possible values. Works in place. Rotates ijk coordinates 60 degrees counter-clockwise. Works in place. Rotates ijk coordinates 60 degrees clockwise. Works in place. Find the normalized ijk coordinates of the indexing parent of a cell in a counter-clockwise aperture 7 grid. Works in place. Find the normalized ijk coordinates of the indexing parent of a cell in a clockwise aperture 7 grid. Works in place. Find the normalized ijk coordinates of the hex centered on the indicated hex at the next finer aperture 7 counter-clockwise resolution. Works in place. Find the normalized ijk coordinates of the hex centered on the indicated hex at the next finer aperture 7 clockwise resolution. Works in place. Find the normalized ijk coordinates of the hex centered on the indicated hex at the next finer aperture 3 counter-clockwise resolution. Works in place. Find the normalized ijk coordinates of the hex centered on the indicated hex at the next finer aperture 3 clockwise resolution. Works in place. Convert IJK coordinates to cube coordinates, in place. Convert cube coordinates to IJK coordinates, in place Find the normalized ijk coordinates of the hex in the specified digit direction from the specified ijk coordinates. Works in place. The digit direction from the original ijk coordinates. Finds the grid distance between the two coordinates. Given cube coords as doubles, round to valid integer coordinates. Algorithm from https://www.redblobgames.com/grids/hexagons/#rounding optional instance to update, returns a new instance if not provided. Creates a new CoordIJK from a tuple containing 3 integers (I, J, K). Determines the H3 digit corresponding to a unit vector in ijk coordinates. Returns a new ijk coordinate containing the sum of two ijk coordinates. Returns a new ijk coordinate containing the difference of two ijk coordinates. Returns a new ijk coordinate that has been scaled by the specified factor. Clockwise rotation steps, by and number of rotations from 0-5. Counter-clockwise rotation steps, by and number of rotations from 0-5. Returns the that is 60 degrees clockwise to the current direction. Returns the that is 60 degrees clockwise to the current direction. number of rotations to perform Returns the that is 60 degrees counter-clockwise to the current direction. Returns the that is 60 degrees counter-clockwise to the current direction. number of rotations to perform Get the vertices of a cell as substrate FaceIJK addresses. Note that this modifies the address in place! The H3 resolution of the cell. This may be adjusted if necessary for the substrate grid resolution. cell vertices Get the vertices of a pentagon cell as substrate FaceIJK addresses. Note that this modifies the address in place! The H3 resolution of the cell. This may be adjusted if necessary for the substrate grid resolution. cell vertices Adjusts a FaceIJK address in place so that the resulting cell address is relative to the correct icosahedral face. H3 resolution of the cell Whether or not the cell is a pentagon with leading digit of 4 (Direction.I) Whether or not the cell is on a substrate grid Adjusts a FaceIJK address for a pentagon vertex in a substrate grid in place so that the resulting cell address is relative to the correct icosahedral face. H3 resolution of the cell Generates the cell boundary in spherical coordinates for a pentagonal cell given by a FaceIJK address at a specified resolution. The H3 resolution of the cell The first topological vertex to return The number of topological vertexes to return The spherical coordinates of the cell boundary Generates the cell boundary in spherical coordinates for a cell given by a FaceIJK address at a specified resolution. The H3 resolution of the cell The first topological vertex to return The number of topological vertexes to return The spherical coordinates of the cell boundary Creates a LatLng from a NTS Point. Creates a LatLng from a NTS Coordinate. Computes the point on the sphere a specified azimuth and distance from another point. The first spherical coordinate The desired azimuth from p1 The desired distance from p1, must be non-negative. The spherical coordinates at the desired azimuth and distance from p1 Compute area in radians^2 of a spherical triangle, given its vertices. First triangle vertex Second triangle vertex Third triangle vertex Area of triangle on unit sphere, in radians^2 Return the NTS representation of this coordinate. Return the NTS representation of this coordinate. optional coordinate to update and return; defaults to allocating a new coordinate Return the NTS representation of this coordinate. Determines the azimuth to p2 from p1 in radians. Destination spherical coordinate The azimuth in radians from this to p2 The great circle distance in radians between two spherical coordinates. This function uses the Haversine formula. For math details, see: * https://en.wikipedia.org/wiki/Haversine_formula * https://www.movable-type.co.uk/scripts/latlong.html Destination coordinate The great circle distance in radians between this coordinate and the destination coordinate. The great circle distance in radians between two spherical coordinates. This function uses the Haversine formula. For math details, see: * https://en.wikipedia.org/wiki/Haversine_formula * https://www.movable-type.co.uk/scripts/latlong.html Destination coordinate The great circle distance in radians between this coordinate and the destination coordinate. The great circle distance in kilometers between two spherical coordinates. Destination coordinate The great circle distance in kilometers between this coordinate and the destination coordinate. The great circle distance in kilometers between two spherical coordinates. Destination coordinate The great circle distance in kilometers between this coordinate and the destination coordinate. The great circle distance in meters between two spherical coordinates. Destination coordinate The great circle distance in meters between this coordinate and the destination coordinate. The great circle distance in meters between two spherical coordinates. Destination coordinate The great circle distance in meters between this coordinate and the destination coordinate. Returns an estimated number of cells that trace the cartesian-projected line Destination coordinates H3 resolution used to trace the line Estimated number of cells required to trace the line Resolution 0 base cell lookup table for each face. Given the face number and a resolution 0 ijk+ coordinate in that face's face-centered ijk coordinate system, gives the base cell located at that coordinate and the number of 60 ccw rotations to rotate into that base cell's orientation. Valid lookup coordinates are from(0, 0, 0) to(2, 2, 2). The vertexes of an origin-centered cell in a Class II resolution on a substrate grid with aperture sequence 33r. The aperture 3 gets us the vertices, and the 3r gets us back to Class II. vertices listed ccw from the i-axes the vertexes of an origin-centered cell in a Class III resolution on a substrate grid with aperture sequence 33r7r. The aperture 3 gets us the vertices, and the 3r7r gets us to Class II. vertices listed ccw from the i-axes the vertexes of an origin-centered pentagon in a Class II resolution on a substrate grid with aperture sequence 33r. The aperture 3 gets us the vertices, and the 3r gets us back to Class II. vertices listed ccw from the i-axes the vertexes of an origin-centered pentagon in a Class III resolution on a substrate grid with aperture sequence 33r7r. The aperture 3 gets us the vertices, and the 3r7r gets us to Class II. vertices listed ccw from the i-axes Table of direction-to-face mapping for each pentagon. Note that faces are in directional order, starting at J_AXES_DIGIT. Directions used for traversing a hexagonal ring counterclockwise around {1, 0, 0}. 
                   _
                 _/ \\_
                / \\5/ \\
                \\0/ \\4/
                / \\_/ \\
                \\1/ \\3/
                  \\2/
Direction used for traversing to the next outward hexagonal ring. New digit when traversing along class II grids. Current digit -> direction -> new digit. New traversal direction when traversing along class II grids. Current digit -> direction -> new ap7 move (at coarser level). New traversal direction when traversing along class III grids. Current digit -> direction -> new digit. New traversal direction when traversing along class III grids. Current digit -> direction -> new ap7 move (at coarser level). Origin leading digit -> index leading digit -> rotations 60 cw Either being 1 (K axis) is invalid. No good default at 0. Reverse base cell direction -> leading index digit -> rotations 60 ccw. For reversing the rotation introduced in PnetagonRotations when the origin is on a pentagon (regardless of the base cell of the index.) Reverse base cell direction -> leading index digit -> rotations 60 ccw. For reversing the rotation introduced in PentagonRotations when the index is on a pentagon and the origin is not. Reverse base cell direction -> leading index digit -> rotations 60 ccw. For reversing the rotation introduced in PentagonRotations when the index is on a polar pentagon and the origin is not. Prohibited directions when unfolding a pentagon. Indexes by two directions, both relative to the pentagon base cell. The first is the direction of the origin index and the second is the direction of the index to unfold. Direction refers to the direction from base cell to base cell if the indexes are on different base cells, or the leading digit if within the pentagon base cell. This previously included a Class II/Class III check but these were removed due to failure cases. It's possible this could be restricted to a narrower set of a failure cases. Currently, the logic is any unfolding across more than one icosahedron face is not permitted. A list of all hex indexes that are pentagons at each resolution. The area of hexagon cells at each resolution in km^2 The area of hexagon cells at each resolution in m^2 TODO figure out what these are actually used for and doc accordingly TODO figure out what these are actually used for and doc accordingly Returns the magnitude of the vector... ohhh yessss! Un-pre-dictable! All of the 122 base cells that comprise the H3 indexing scheme. Gets the specified number of top bits from the provided value. Determines the azimuth to p2 from p1 in radians. p1 longitude, in radians p1 latitude, in radians p2 longitude, in radians p2 latitude, in radians azimuth, ...in radians! The great circle distance in radians between two spherical coordinates. This function uses the Haversine formula. For math details, see: * https://en.wikipedia.org/wiki/Haversine_formula * https://www.movable-type.co.uk/scripts/latlong.html Destination coordinate The great circle distance in radians between this coordinate and the destination coordinate. Indicates whether or not the provided resolution has a Class 3 orientation. Indicates whether or not the specified child resolution is valid relative to the provided parent resolution. Clamps the specified value between min and max value to clamp minimum value maximum value Round implementation which replicates the C away from zero behavior and for some reason performs better than Math.Round with midpoint rounding option. See the "double version of round behaves as if implemented as follows" code here: https://en.cppreference.com/w/c/numeric/math/round#Notes Determines if the specified value is negative. Count the number of leading zero bits in a mask. Similar in behavior to the x86 instruction LZCNT. The value. Reserved to be used by the compiler for tracking metadata. This class should not be used by developers in source code.